Online GCD Calculator is useful to find the GCD of 734, 106, 889, 100 quickly. Get the easiest ways to solve the greatest common divisor of 734, 106, 889, 100 i.e 1 in different methods as follows.
Given Input numbers are 734, 106, 889, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 889 :
The positive integer divisors of 889 that completely divides 889 are.
1, 7, 127, 889
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (734, 106, 889, 100) = 1.
Given numbers are 734, 106, 889, 100
The list of prime factors of all numbers are
Prime factors of 734 are 2 x 367
Prime factors of 106 are 2 x 53
Prime factors of 889 are 7 x 127
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 734, 106, 889, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(734, 106) = 38902
GCD(734, 106) = ( 734 x 106 ) / 38902
= 734 / 106
= 734
Step2:
LCM(2, 889) = 1778
GCD(2, 889) = ( 2 x 889 ) / 1778
= 2 / 889
= 2
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 734, 106, 889, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 734, 106, 889, 100
The greatest common divisor of numbers 734, 106, 889, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 106, 889, 100 is 1.
1. What is the GCD of 734, 106, 889, 100?
GCD of given numbers 734, 106, 889, 100 is 1
2. How to calculate the greatest common divisor of 734, 106, 889, 100?
We can find the highest common divisor of 734, 106, 889, 100 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 734, 106, 889, 100 i.e 1.
3. How can I use the GCD of 734, 106, 889, 100Calculator?
Out the numbers 734, 106, 889, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.